Coordinates of points of trisection
Given coordinates are�
�and�
Trisection means dividing a line segment in three equal parts or dividing a line segment� in the ratio 1:2 and 2:1 internally.
Case (i):
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The coordinates of a point which divides the join of�
�and�
�in the ratio�
�internally is�
�
�
Case (ii):
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The coordinates of a point which divides the join of��and��in the ratio��internally is�
�
�
Hence the coordinates of trisection are�
�and�